## Latest Articles

### With Category Theory, Mathematics Escapes From Equality

Two monumental works have led many mathematicians to avoid the equal sign. The process has not always gone smoothly.

### Big Question About Primes Proved in Small Number Systems

The twin primes conjecture is one of the most important and difficult questions in mathematics. Two mathematicians have solved a parallel version of the problem for small number systems.

### Computers and Humans ‘See’ Differently. Does It Matter?

In some ways, machine vision is superior to human vision. In other ways, it may never catch up.

### A Mathematical Model Unlocks the Secrets of Vision

Mathematicians and neuroscientists have created the first anatomically accurate model that explains how vision is possible.

### New Proof Settles How to Approximate Numbers Like Pi

The ancient Greeks wondered when “irrational” numbers can be approximated by fractions. By proving the longstanding Duffin-Schaeffer conjecture, two mathematicians have provided a complete answer.

### Quantum Supremacy Is Coming: Here’s What You Should Know

Researchers are getting close to building a quantum computer that can perform tasks a classical computer can’t. Here’s what the milestone will mean.

### How Randomness Can Make Math Easier

Randomness would seem to make a mathematical statement harder to prove. In fact, it often does the opposite.

### Random Surfaces Hide an Intricate Order

Mathematicians have proved that a random process applied to a random surface will yield consistent patterns.

### A New Law to Describe Quantum Computing’s Rise?

Neven’s law states that quantum computers are improving at a “doubly exponential” rate. If it holds, quantum supremacy is around the corner.